Example 42. A train travels first 300 kilometres at an average rate of 30 k.p.h. and further travels the same distance at an average rate of 40 k.p.h. What is the average speed over the whole distance?

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Q: 3. If X has a uniform distribution in (0,1) with p.d.f f(x)=1, 0<x<1 = 0, otherwise. Find the distri...

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Q: Answer with graph.   2. The distribution of means on a standardized math test yields a known popul...

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Q: Find standard deviation and kurtosis of the following series by the method of moments : Class Interv...

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Q: Assume the random variable X is normally​ distributed, with mean μ=47 and standard deviation σ=8. ...

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Q: Example 2. If the relationship between two variables x and u is u + 3x = 10 and between two other va...

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Q: Example 18. Find the two lines of regressions from the following data: 167 X: 158 160 163 165 170 17...

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Q: If 12 = 0-5, r31 = 0-3, r23 0-45, find R3.12. %3D

A: When more than two variables are to establish the degree of relationship then the correlation is sai...

Q: For a population with mean of 50 and standard deviation of 8, what is the z-score that corresponds t...

A: Given that , mean = μ = 50 standard deviation = σ = 8 x = 46    

Q: Let X be a continuous random variable with the pdf f(r) = 2r, 0 < ar < 1 and zow. We also define Y -...

A: The pdf of X is given by, f(x)=2x, 0&lt;x&lt;1 The CDF of X is given by, F(x)=0, if x&lt;0       =∫0...

Q: The sum of deviation of a certain number of item measured from 4 is 72 anf the sum of deviationd of ...

A: We have to find number of observations and mean.

Q: Two players A and B toss an unbiased die alternatively. He who first throws a six wins the game. If ...

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Q: 4. On a certain standardized test, the population mean is 250 with a standard error of the mean of 2...

A: Given: Population mean, μ=250Standard error of mean, σx¯=25

Q: A random sample of male nontraditional students at a Midwestern University yields the following ages...

A: Find the critical value =?

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Q: 6. A women arrives at an airport between 11 and 12 o'clock. she waits for her husband for 10 minutes...

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A: For the given data find the given probabilities in (a)(b)(c)and (d)

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A: For the given data find Correlation ( r ) = ?

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A: The given solution

Q: A commercial on Station A has a mean length of 35 seconds with a standard deviation of 8 seconds. St...

A: Given: For station A μ=35σ=8 For station B μ=30σ=5

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A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only fi...

Q: If the area shaded to the left of z, is 0.3322 and the area shaded to the left of z, is o.5440, what...

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Q: Define Gamma distribution. Find its moment generating function and hence its mean and variance. Also...

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Q: A random sample of 90 observations produced a sample mean of 25.9 and a sample standard deviation of...

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Q: Problem 2. Marks obtained by 50 boys of a class are as unde. : 34 54 10 21 51 52 22 39 26 34 12 43 4...

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Q: If 12 = 0-5, r31 = 0-3, r23 = 0-45, find R3-12.

A: Here use formula of correlation 

Q: We wish to estimate what percent of adult residents in a certain county are parents. Out of 100 adul...

A: Givensample size(n)=100x=95

Q: Statement: The sum of n independent Gammä variates is also a Gamma variate. i.e., If x„X,....., X, a...

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Q: A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without rep...

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Q: A regression analysis with formula y 30 + 2x has a standard error of 1, and a t-statistic of 2.0. Th...

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A: Given :

Q: What is the area under the normal curve between z=1.15 and z=-1.85? [Hint: P(-1.85 < Z <0) = 0.4678 ...

A: Find P ( -1.85 &lt; Z &lt; 1.15 ) =?  

Q: In the recent civic election that took place in California, approximately 55.48% of voters voted in ...

A: Given that In the recent civic election that took place in California, approximately 55.48% of voter...

Q: If the mean of a distribution is greater than its median, then a) the distribution has a very high ...

A: If the mean of the distribution is greater than median, then the distribution is skewed. It can be r...

Q: If the Pearson coefficient of skewness for a data set is o.194, what can be concluded about the data...

A: Here, the value of Pearson coefficient of skewness is given which is equals to 0.194.

Q: Define sample and explain basic elements of sampling

A: Here we need to define and explain the sample and basic elements of sampling.

Q: Example The first four central moments of a distribution are 0, 2.45 0.7 and 18.75. Calculate the mo...

A: The aim is to calculate  moment measures of skewness and  kurtosis of the distribution  

Q: What is the emerging ethical delimma all about?

A:  Emerging ethical dilemma relates to science and technology.

Q: An upward sloping linear trend line through a scatter plot indicates a a) postive mean b) nega...

A: An upward sloping linear trend line through a scatter plot indicates a